A rectangular solar panel has a length of 11 inches shorter than 4 times it’s width if the perimeter of the panel is 218 inches what are the dimensions of the panel

Answer:

Down payment is when you are trying to by something that is expensive up front like a house or a car.  It is usually paid in cash or equivalent at the time of finalizing the transaction. A loan of some sort is then required to finance the remainder of the payment.

Step-by-step explanation:

It is false that the expressions 4x − 2(5x − 1) and 6x + 2 are equivalent expressions

The expression is given as:

4x − 2(5x − 1)

Open the bracket

4x − 2(5x − 1) = 4x − 10x + 2

Evaluate the like terms

4x − 2(5x − 1) = − 6x + 2

− 6x + 2 and 6x + 2 are not equal expressions

Hence, 4x − 2(5x − 1) and 6x + 2 are not equivalent expressions

Read more about equivalent expressions at:

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Answer:

ŷ = 739.49X + 4876.43

y = 6755.98 - 388.24x + 125.30x²

y = 5428.98(1.09)^x

B.)

Linear:

ŷ = 739.49(9) + 4876.43

y = 11531.8

Year 2010 ; x = 10

y = 739.49(10) + 4876.43

y = 12271.3

Year 2011 ; x = 11

y = 739.49(11) + 4876.43

y = 13010.8

Quadratic :

Year 2009 ; x = 9

y = 6755.98 - 388.24(9) + 125.30(9^2)

y = 13411.1

Year 2010 ; x = 10

y = 6755.98 - 388.24(10) + 125.30(10^2)

y = 15403.6

Year 2011 ; x = 11

y = 6755.98 - 388.24(11) + 125.30(11^2)

y = 17646.6

Exponential:

Year 2009 ; x = 9

y = 5428.98(1.09)^9

y = 11791.2

Year 2010 ; x = 10

y = 5428.98(1.09)^10

y = 12852.4

Year 2011 ; x = 11

y = 5428.98(1.09)^11

y = 14009.1

Step-by-step explanation:

X :

1

2

3

4

5

6

7

8

Y:

6231

6574

7237

7211

7701

8581

10302

11796

Using the online linear regression calculator :

The linear trend :

ŷ = 739.49X + 4876.43

Where x = year

With 2006 representing 1 ; and so on

Slope = m = 739.49

Intercept (c) = 4876.43

y = predicted variable

The quadratic model:

General form:

y = A + Bx + Cx²

y = 6755.98 - 388.24x + 125.30x²

The exponential model:

y = AB^x

y = 5428.98(1.09)^x

B.) Next three years :

Year 2009 ; x = 9

Year 2010 ; x = 10

Year 2011 ; x = 11

Linear:

ŷ = 739.49(9) + 4876.43

y = 11531.8

Year 2010 ; x = 10

y = 739.49(10) + 4876.43

y = 12271.3

Year 2011 ; x = 11

y = 739.49(11) + 4876.43

y = 13010.8

Quadratic :

Year 2009 ; x = 9

y = 6755.98 - 388.24(9) + 125.30(9^2)

y = 13411.1

Year 2010 ; x = 10

y = 6755.98 - 388.24(10) + 125.30(10^2)

y = 15403.6

Year 2011 ; x = 11

y = 6755.98 - 388.24(11) + 125.30(11^2)

y = 17646.6

Exponential:

Year 2009 ; x = 9

y = 5428.98(1.09)^9

y = 11791.2

Year 2010 ; x = 10

y = 5428.98(1.09)^10

y = 12852.4

Year 2011 ; x = 11

y = 5428.98(1.09)^11

y = 14009.1

The fraction of the shape which is shaded in simplest form is 1/3.

The square in the diagram provided has a total of 12 boxes .

The number of shaded part is 4

To calculate the shaded fraction of the shape we have to use the formula:

Number of shaded part/ Total number of boxes present.

= 4/12

We can divide the numerator and denominator by 4 to get the simplest form.

= 1/3

The fraction of the shape which is shaded in simplest form is therefore

= 1/3.

Read more about Fraction here https://brainly.com/question/17743912

Answer:

The sample size is    [tex]n = 600 [/tex]

Step-by-step explanation:

From the question we are told that

   The margin of error is  E = 4% = 0.04

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Since the sample proportion (point estimate of the population proportion was not give we will assume it to be  )

       [tex]\^ p = 0.5[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{1.96}{0.04} ]^2 * 0.5 (1 - 0.5 ) [/tex]

=>  [tex]n = 600 [/tex]

Answer: -22

Good Luck!

Answer:

y=3x+4

Step-by-step explanation:

Hope this works

Answer:

your answer is 7

Step-by-step explanation:

i may be wrong but i think that is the correct answer oh and Have a good thanksgiving everyone

Answer:

13.3 and 28.2 years

Step-by-step explanation:

from Khan academy

Answer:

The answer is D.

Step-by-step explanation:

hope that helps

Answer:

y = 10 + 5x

Step-by-step explanation:

The question seem incomplete as the question requirement is not stated.

However, I'll solve for the equation and also plot the graph that illustrates the equation.

From the question, we have the following.

Base Amount = 10

Additional = 5 (weekly)

Let y represents her savings at any given weeks and x represents the number of weeks

y is calculated using

y = Base Amount + Additional * weeks

y = 10 + 5 * x

y = 10 + 5x

Next, it to plot the graph.

Take x = 0

y = 10 + 5 * 0

y = 10 + 0

y = 10

Take x = 3

y = 10 + 5 * 3

y = 10 + 15

y = 25

So, the graph must pass through

(0,10) and (3,25)

See attachment for graph.

The equation is y = 10 + 5x

Given that,

y = Base Amount + Additional ( weeks)

y = 10 + 5 (x)

y = 10 + 5x

learn more about the equation here: https://brainly.com/question/10821476

Answer:

Answers are below :)

Step-by-step explanation:

Q1- Divide both sides by 2

       x +12 = 20/2

Simplify 20/2 to 10

x + 12 =10

Subtract 12 from  both sides

x = 10 - 12

Simplify 10 - 12 to -2

x = -2

Q2. Add 2 to both sides

-4x = 10 + 2

Simplify 10 + 2 to 12

-4x=12

Divide both sides by -4

x = -12/4

Simplify 12/4 to 3

x = -3

Answer:

1. x=-2

2. X=-3

Step-by-step explanation:

1. 2(X+12)

  2x+24=20

  2x= -4

  x= -2

2. -4x-2=10

   -4x=12

   x=-3

Answer:

0.23

Step-by-step explanation:

A formula I like to use to find the answer to these types of questions is

[tex]\frac{828}{3600} =\frac{x}{100}[/tex]

first, multiply 828×100=82,800

now divide 82800÷3600=23

so your answer is 23%=[tex]\frac{23}{100}[/tex]=0.23

Answer:

0.0544

Step-by-step explanation:

From the given information;

The population proportion of the voters that would support the ballot measures in region A = 0.46

The random sample n = 400 voters

The required probability can therefore be computed as follows:

[tex]P[p_1>0.5] = P \bigg [ \dfrac{p_1-P_1}{\sqrt{\dfrac{P_1(1-P_1)}{n_1}}}>\dfrac{0.5-0.46}{\sqrt{\dfrac{0.46(1-0.46)}{400}}} \bigg][/tex]

[tex]P[p_1>0.5] = P \bigg [ Z>\dfrac{0.04}{\sqrt{\dfrac{0.46(0.54)}{400}}} \bigg][/tex]

[tex]P[p_1>0.5] = P \bigg [ Z>\dfrac{0.04}{\sqrt{6.21\times 10^{-4}}} \bigg][/tex]

[tex]P[p_1>0.5] = P \bigg [ Z>1.605 \bigg][/tex]

[tex]P[p_1>0.5] = 1- P [ Z<1.605 ][/tex]

Using the Excel Function =NORMDIST(1.605)

[tex]P[p_1>0.5] = 1- 0.9456[/tex]

[tex]P[p_1>0.5] =0.0544[/tex]

Therefore, the required probability = 0.0544

Answer:

A 2.2

Step-by-step explanation:

Answer:

tesrdxtcfygvoubucewh cwcs wuehcbwch w

Step-by-step explanation:

w edch dwjbsxchwej chwxc

Answer:

2 gallons converted to liters is 7.57 or 8 liters rounded

9514 1404 393

Answer:

  q = 58

Step-by-step explanation:

If the variation is inverse, when p is multiplied by 1/2, q will be multiplied by the inverse (reciprocal) of 1/2, which is 2/1 = 2.

When p = (1/2)(28), q = (2)(29) = 59

  q = 58

Answer: B' (x-4,y)

Step-by-step explanation: A figure which is moved from one location to antoher, without changing its size, shape or orientation, is a figure that went through translation.

So, when a point is translated, it means it changed its position.

Point B has x- and y-coordinates: B(x,y)

Point B' after being translated 4 units left means:

(x,y) → (x-4,y)

In other words, translated point B has coordinates

B(x-4, y)

Because moving left is saying the point is moving towards the negative "side" of the x-axis.

Answer Choices:

A) (-6, -1)

B) (6, -1)

C) (-6, 1)

9514 1404 393

Explanation:

Finish the Given statement, make use of the relationships of angles and parallel lines, then finish the algebra.

__

2. m∠6 = (1/8)m∠4 . . . . Given

3. m∠6 + m∠4 = 180° . . . . 3. same-side interior angles are supplementary

4. m∠6 + 8·m∠6 = 180° . . . . 4. Substitution (from 2, above: 8·m∠6 = m∠4)

Here is the "algebra" that gets you to line 5:

4a. 9m∠6 = 180° . . . collect terms

4b. m∠6 = 20° . . . . . divide by 9

4c. m∠4 = 8·20° = 160° . . . use the same relation as in step 4

5. m∠6 = 20°, m∠4 = 160° . . . . Algebra

m∠6=1/8m∠4

m∠6+m∠4=180°                S.S int. of parallel lines

m∠6+8·m∠4=180°

m∠6=20° m∠4=160°

Answer: The answer would be -5w-1

Step-by-step explanation:

Answer:

xcgvb                     vgjbnnnnnnnnnn vbjn bvh

Step-by-step explanation:

Answer: D

Step-by-step explanation: Edge

Answer:

It is D i think.

Answer:

1 place to the right

Step-by-step explanation:

hope it help

Which year group is this question from?

Answer:

It's A

Step-by-step explanation:

A parallelogram only has 4 sides, but pentagon has 5. Also like the name, a parallelogram opposite sides are parallel to each other.

Answer:

0.98778

Step-by-step explanation:

When we are given a random number rod samples, we solve using z score formula

z = (x-μ)/σ/√n, where

x is the raw score = 102.1 mL

μ is the population mean = 101.5 milliliters (mL)

σ is the population standard deviation = 1.6.

n = 36

z = 102.1 - 101.5/1.6/√36

z = 2.25

Probability value from Z-Table:

P(x<102.1) = 0.98778

Hence, If 36 bottles are randomly selected, find the probability that the mean content is less than 102.1 mL is 0.98778

Answer:

3x ≤ - 6

Step-by-step explanation:

let the number be x.

three times of it would be 3x

since 3x is at most -6, 3x must be less than or equal to -6.

hence, 3x ≤ -6

however, your option seems to not have any sign that has equal to so perhaps the nearest answer would be 3x < -6